Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines
From MaRDI portal
Publication:1183051
DOI10.1007/BF01385718zbMath0744.65008OpenAlexW2041140405MaRDI QIDQ1183051
Cornelis Traas, Larry L. Schumaker
Publication date: 28 June 1992
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133588
numerical examplesscattered data fittingthird order of convergencespherelike surfacetensor product of polynomial splines with trigonometric splines
Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Multidimensional problems (41A63) Spline approximation (41A15)
Related Items (20)
A non-stationary subdivision scheme for generalizing trigonometric spline surfaces to arbitrary meshes ⋮ Nuat B-spline curves ⋮ Locally supported rational spline wavelets on a sphere ⋮ Shape analysis of cubic trigonometric Bézier curves with a shape parameter ⋮ Multiresolution analysis and wavelets onS2andS3 ⋮ High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations ⋮ Quadratic spline wavelets with arbitrary simple knots on the sphere. ⋮ Ambient approximation on embedded submanifolds ⋮ Unified and extended form of three types of splines ⋮ Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods ⋮ A \(\widetilde{\mathcal{C}}^2\) spline quasi-interpolant for fitting 3D data on the sphere and applications ⋮ A construction of \(C^1\)-wavelets on the two-dimensional sphere ⋮ A subdivision algorithm for trigonometric spline curves ⋮ Quadratic spherical spline quasi-interpolants on Powell-Sabin partitions ⋮ Fitting scattered data on sphere-like surfaces using spherical splines ⋮ The use of B-splines to represent the topography of river networks ⋮ Quasi-interpolants based on trigonometric splines ⋮ A multiresolution method for fitting scattered data on the sphere ⋮ Error estimates for scattered data interpolation on spheres ⋮ On Some Piecewise Quadratic Spline Functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A stable recurrence relation for trigonometric B-splines
- Modified multiquadric methods for scattered data interpolation over a sphere
- Algorithms for smoothing data on the sphere with tensor product splines
- Surfaces defined on surfaces
- Interpolation of scattered data on closed surfaces
- \(C^ 1\) surface interpolation for scattered data on a sphere
- A recurrence relation for Chebyshevian B-splines
- Smooth approximation of data on the sphere with splines
- Interpolation over a sphere based upon a minimum norm network
- Spline Interpolation and Smoothing on the Sphere
- Interpolation of data on the surface of a sphere
- B-Spline Approximation of a Closed Surface
- Scattered Data Interpolation: Tests of Some Method
- The Least-squares Fitting of Cubic Spline Surfaces to General Data Sets
This page was built for publication: Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines